We emphasize that some of the results in [1]} based on symmetric functions immediately follow from the general theory we have developed so far. The result shows that Gorin's setup fits the co-opposite version of spherical unitary representations of our \(\mathrm {U}_q(\infty )\)  or equivalently the locally normal \((\vartheta ^t,+1)\) -KMS states \(K_{+1}^\mathrm {ln}(\vartheta ^t)\) ; see Remarks REF (3) and the short sentense just after Corollary REF . However, this difference only causes the rather minor transition from \(q\)  to \(q^{-1}\) .
